A basket contained purple and black cards. There were 60% more purple cards than black cards. When 65 cards were removed from the basket, the amount of purple cards decreased by 25% and the amount of black cards decreased 90%. How many cards were in the basket in the end?
| |
Purple cards |
Black cards |
Total cards |
| Before |
8 u |
5 u |
13 u |
| Change |
- 2 u |
- 4.5 u |
- 6.5 u |
| After |
6 u |
0.5 u |
6.5 u |
100% + 60% = 160%
160% =
160100 =
85Number of purple cards that were removed from the basket
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of black cards that were removed from the basket
= 90% x 5 u
=
90100 x 5 u
= 4.5 u
Total number of cards that were removed from the basket
= 2 u + 4.5 u
= 6.5 u
6.5 u = 65
1 u = 65 ÷ 6.5 = 10
Number of cards in the basket in the end
= 6 u + 0.5
= 6.5 u
= 6.5 x 10
= 65
Answer(s): 65
